Abstract
For a finite reflection group G there is a rich theory developed by Dunkl, Heckman and Opdam leading to the notion of a commuting set of Bessel differential operators. These systems play an important role in the study of Calogero-Moser systems and other problems of physical interest. When G acts on the real line one recovers the usual Bessel function with a well known power series expansion at the origin. We obtain some such expansions in the case of G = A 2 acting in the plane and we use these to produce plots of some of these functions.
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